Maze solving: Difference between revisions

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=={{header|Emacs Lisp}}==
file: maze.el
<lang lisp>(require 'cl-lib)

(cl-defstruct maze rows cols data)

(defmacro maze-pt (w r c)
`(+ (* (mod ,r (maze-rows ,w)) (maze-cols ,w))
(mod ,c (maze-cols ,w))))

(defmacro maze-ref (w r c)
`(aref (maze-data ,w) (maze-pt ,w ,r ,c)))

(defun new-maze (rows cols)
(setq rows (1+ rows)
cols (1+ cols))
(let ((m (make-maze :rows rows :cols cols :data (make-vector (* rows cols) nil))))

(dotimes (r rows)
(dotimes (c cols)
(setf (maze-ref m r c) (copy-sequence '(wall ceiling)))))

(dotimes (r rows)
(maze-set m r (1- cols) 'visited))

(dotimes (c cols)
(maze-set m (1- rows) c 'visited))

(maze-unset m 0 0 'ceiling) ;; Maze Entrance
(maze-unset m (1- rows) (- cols 2) 'ceiling) ;; Maze Exit

m))

(defun maze-is-set (maze r c v)
(member v (maze-ref maze r c)))

(defun maze-set (maze r c v)
(let ((cell (maze-ref maze r c)))
(when (not (member v cell))
(setf (maze-ref maze r c) (cons v cell)))))

(defun maze-unset (maze r c v)
(setf (maze-ref maze r c) (delete v (maze-ref maze r c))))

(defun print-maze (maze &optional marks)
(dotimes (r (1- (maze-rows maze)))

(dotimes (c (1- (maze-cols maze)))
(princ (if (maze-is-set maze r c 'ceiling) "+---" "+ ")))
(princ "+")
(terpri)

(dotimes (c (1- (maze-cols maze)))
(princ (if (maze-is-set maze r c 'wall) "|" " "))
(princ (if (member (cons r c) marks) " * " " ")))
(princ "|")
(terpri))

(dotimes (c (1- (maze-cols maze)))
(princ (if (maze-is-set maze (1- (maze-rows maze)) c 'ceiling) "+---" "+ ")))
(princ "+")
(terpri))

(defun shuffle (lst)
(sort lst (lambda (a b) (= 1 (random 2)))))

(defun to-visit (maze row col)
(let (unvisited)
(dolist (p '((0 . +1) (0 . -1) (+1 . 0) (-1 . 0)))
(let ((r (+ row (car p)))
(c (+ col (cdr p))))
(unless (maze-is-set maze r c 'visited)
(push (cons r c) unvisited))))
unvisited))

(defun make-passage (maze r1 c1 r2 c2)
(if (= r1 r2)
(if (< c1 c2)
(maze-unset maze r2 c2 'wall) ; right
(maze-unset maze r1 c1 'wall)) ; left
(if (< r1 r2)
(maze-unset maze r2 c2 'ceiling) ; up
(maze-unset maze r1 c1 'ceiling)))) ; down

(defun dig-maze (maze row col)
(let (backup
(run 0))
(maze-set maze row col 'visited)
(push (cons row col) backup)
(while backup
(setq run (1+ run))
(when (> run (/ (+ row col) 3))
(setq run 0)
(setq backup (shuffle backup)))
(setq row (caar backup)
col (cdar backup))
(let ((p (shuffle (to-visit maze row col))))
(if p
(let ((r (caar p))
(c (cdar p)))
(make-passage maze row col r c)
(maze-set maze r c 'visited)
(push (cons r c) backup))
(pop backup)
(setq backup (shuffle backup))
(setq run 0))))))

(defun generate (rows cols)
(let* ((m (new-maze rows cols)))
(dig-maze m (random rows) (random cols))
(print-maze m)))

(defun parse-ceilings (line)
(let (rtn
(i 1))
(while (< i (length line))
(push (eq ?- (elt line i)) rtn)
(setq i (+ i 4)))
(nreverse rtn)))

(defun parse-walls (line)
(let (rtn
(i 0))
(while (< i (length line))
(push (eq ?| (elt line i)) rtn)
(setq i (+ i 4)))
(nreverse rtn)))

(defun parse-maze (file-name)
(let ((rtn)
(lines (with-temp-buffer
(insert-file-contents-literally file-name)
(split-string (buffer-string) "\n" t))))
(while lines
(push (parse-ceilings (pop lines)) rtn)
(push (parse-walls (pop lines)) rtn))
(nreverse rtn)))

(defun read-maze (file-name)
(let* ((raw (parse-maze file-name))
(rows (1- (/ (length raw) 2)))
(cols (length (car raw)))
(maze (new-maze rows cols)))
(dotimes (r rows)
(let ((ceilings (pop raw)))
(dotimes (c cols)
(unless (pop ceilings)
(maze-unset maze r c 'ceiling))))
(let ((walls (pop raw)))
(dotimes (c cols)
(unless (pop walls)
(maze-unset maze r c 'wall)))))
maze))

(defun find-exits (maze row col)
(let (exits)
(dolist (p '((0 . +1) (0 . -1) (-1 . 0) (+1 . 0)))
(let ((r (+ row (car p)))
(c (+ col (cdr p))))
(unless
(cond
((equal p '(0 . +1)) (maze-is-set maze r c 'wall))
((equal p '(0 . -1)) (maze-is-set maze row col 'wall))
((equal p '(+1 . 0)) (maze-is-set maze r c 'ceiling))
((equal p '(-1 . 0)) (maze-is-set maze row col 'ceiling)))
(push (cons r c) exits))))
exits))

(defun drop-visited (maze points)
(let (not-visited)
(while points
(unless (maze-is-set maze (caar points) (cdar points) 'visited)
(push (car points) not-visited))
(pop points))
not-visited))

(defun solve-maze (maze)
(let (solution
(exit (cons (- (maze-rows maze) 2) (- (maze-cols maze) 2)))
(pt (cons 0 0)))
(while (not (equal pt exit))
(maze-set maze (car pt) (cdr pt) 'visited)
(let ((exits (drop-visited maze (find-exits maze (car pt) (cdr pt)))))
(if (null exits)
(setq pt (pop solution))
(push pt solution)
(setq pt (pop exits)))))
(push pt solution)))

(defun solve (file-name)
(let* ((maze (read-maze file-name))
(solution (solve-maze maze)))
(print-maze maze solution)))

(provide 'maze)
</lang>
file: maze-solve
<lang lisp>#!/usr/bin/env emacs -script
;; -*- lexical-binding: t -*-
;;> Solve mazes generated by maze-generator.
;;> Example: ./maze-solve maze.txt

(add-to-list 'load-path (file-name-directory load-file-name))
(require 'maze)

(solve (elt command-line-args-left 0))
</lang>
{{out}}
<pre style="height:35ex;overflow:scroll;">+ +---+---+---+---+---+---+---+---+---+
| * * * | | | |
+---+---+ + +---+---+ +---+---+ +
| | * | | | | | |
+ + + + +---+ + + +---+ +
| | * * * * | | |
+---+---+---+---+---+ +---+---+ + +
| | | | | * * | | | |
+ +---+ + + +---+ + + + +
| | | | | * * | |
+ + + + +---+ + + +---+ +
| | | | | | * * * |
+ + + +---+---+---+ +---+---+ +
| | | | | | * |
+ + +---+---+ + + + + + +
| | | | | | * |
+ + + +---+---+---+---+---+ + +
| | | | | * |
+ +---+---+ + + +---+---+---+ +
| | | * |
+---+---+---+---+---+---+---+---+---+ +
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